Optimizing Shear Stress in Structural Analysis

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SUMMARY

This discussion focuses on optimizing shear stress in structural analysis, specifically through the application of equilibrium of forces and momentum to determine forces F_a and F_b. The challenge arises in case b, where the problem lacks sufficient specifications to derive a third equation for analysis. Participants suggest setting an unknown force on the left side to express shear values in terms of that variable, ultimately aiming to minimize maximum shear stress in the structure.

PREREQUISITES
  • Understanding of equilibrium of forces in structural analysis
  • Familiarity with shear stress concepts in engineering
  • Knowledge of tension and compression in structural members
  • Ability to formulate equations based on given forces and moments
NEXT STEPS
  • Research methods for calculating shear stress in structural components
  • Learn about optimization techniques for minimizing shear in engineering structures
  • Study the principles of static equilibrium in structural analysis
  • Explore case studies involving complex force systems in structural engineering
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Structural engineers, civil engineering students, and professionals involved in optimizing force distributions in structural designs.

alexteplyaxins
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Homework Statement
Determine the largest internal shear force resisted by the bolt.
Relevant Equations
Apply equibrilium state.
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What are the sums of the forces for each case?
 
osilmag said:
What are the sums of the forces for each case?
I just can solve problem ##a## by apply equilibrium of force and momentum to find ##F_a## and ##F_b##. But with case b, I can't find third equation.
Thank for read
 
Boom, boom !
 
alexteplyaxins said:
I just can solve problem ##a## by apply equilibrium of force and momentum to find ##F_a## and ##F_b##. But with case b, I can't find third equation.
Thank for read
Yes, b) is not fully specified. E.g. you could take away all of the shown forces and still have shear on the bolt resulting from tensions and compressions in the members on the left.
You could set one of those on the left as an unknown and find the shears in terms of that, then find the value of the unknown which minimises the maximum shear.
 
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